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On the theory of collective motion in nuclei. I. Classical theory

โœ Scribed by Peter Kramer

Publisher
Elsevier Science
Year
1982
Tongue
English
Weight
659 KB
Volume
141
Category
Article
ISSN
0003-4916

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โœฆ Synopsis

From the assumption that the collective Hamiltonian be invariant under the orthogonal group O(A -1, iR) it is concluded that classical collective dynamics can be formulated on a symplectic manifold. This manifold is shown to be a coset space of the symplectic group Y/2(6, [R) of dimension 12, 16 or 18. The first case corresponds to the dequantization of closed-shell collective dynamics and is described in terms of six complex s-and dquasiparticles. In the limit A * 1 it is shown that a transformation leads to interacting s-and d-bosons with the symmetry group g(6) in the collective phase space.

๐Ÿ“œ SIMILAR VOLUMES

On the theory of collective motion in nu
On the theory of collective motion in nuclei. III. From hamiltonian dynamics to vortex-free fluidity
โœ Peter Kramer; Zorka Papadopolos; Wolfgang Schweizer ๐Ÿ“‚ Article ๐Ÿ“… 1983 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 79 KB

It is assumed that the hamiltonian for collective motion in nuclei is invariant under the orthogonal group O(n, IR). For degenerate orbits in phase space it is shown that the classical hamiltonian equations reduce to the equations of a vortex-free fluid with a velocity field determined by independen

On the theory of collective motion in nu
On the theory of collective motion in nuclei. III. From Hamiltonian dynamics to vortex-free fluidity
โœ Peter Kramer; Zorka Papadopolos; Wolfgang Schweizer ๐Ÿ“‚ Article ๐Ÿ“… 1983 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 640 KB

It is assumed that the Hamiltonian for collective motion in nuclei is invariant under the orthogonal group 0(n, R). For degenerate orbits in phase space it is shown that the classical Hamiltonian equations reduce to the equations of a vortex-free fluid with a velocity field determined by independent